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Finding the Third Proportional to 5,197,985,583 and 11,348,490,312

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Solution

The third proportional to 5,197,985,583 and 11,348,490,312 is: 24,776,565,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,985,583 : 11,348,490,312 = 11,348,490,312 : x
  2. Step 2: Convert to fraction form
    5,197,985,583/11,348,490,312 = 11,348,490,312/x
  3. Step 3: Cross multiply
    5,197,985,583x = 11,348,490,312 × 11,348,490,312
  4. Step 4: Simplify right side
    5,197,985,583x = 128,788,232,361,557,852,160
  5. Step 5: Solve for x
    x = 128,788,232,361,557,852,160/5,197,985,583
  6. Step 6: Final answer
    x = 24,776,565,903.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.